Hot Week Gift Boxes Not Showing Up for Pink Bean

When I log onto my Pink Bean character I don't see the Hot Week Gift box on the left side. However, when I log on my other characters it appears on the left side of my screen. I have not opened it up on any other characters and I have tried changing characters multiple times, but no luck. I also tried restarting the game, but still no luck.

Given the restrictions on Pink Bean (cannot trade with others, cannot receive cash items), I would hazard a guess that the system is disabled intentionally.

This is not confirmed, however I would work off of that assumption.

Pink Bean can benefit from account-wide content such as link skills and legion, and can claim per-account rewards from both permanent content (like Monster Collection) and events (like Petite Planet).
So, it makes little sense to exclude it from Hot Week.